2020 TWO(b)

Question

The value of a car is modelled by the formula

V = 17000 e^{- 0.25 t} + 2000 e^{- 0.5 t} + 500

for

0 \leq t \leq 20

where

V

is the value of the car in dollars (\

), an d

t$ is the age of the car in years.

Calculate the rate at which the value of the car is changing when it is 8 years old.

*You must use calculus and show any derivatives that you need to find when solving this
problem.*

Full Solution

Solution Steps(progressive reveal)

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Video Explanation

NCEA Level 3 Calculus Differentiation 2020 NZQA Exam - Worked Answers by infinityplusone(starts at 20:29)

Exam Paper (2020)Assessment Schedule (2020)